Question

What is the slope of the line passing through the points (2, 4) and (5, 6)?

Answer 1

slope = $\frac{2}{3}$

calculate the slope m using the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = ( 2, 4 ) and (x₂, y₂ ) = (5, 6 )

m = $\frac{6-4}{5-2}$ = $\frac{2}{3}$

Answer 2

2/3 is the slope of (2,4) and (5,6)